513411 divided by 38 
We're looking to find how many times 38 goes into 513411.

Step 1:
When dividing 5 by 38, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 38

Let's proceed to step 2:
If we divide 51 by 38, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 13 after subtracting 38 from 51.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 38

Going ahead to step 3:
If we divide 133 by 38, we get 3 and a remainder of 19.
The next digit of our result is 3. 
Result so far: 13.0
Subtract 114 from 133 to get 19.
Fetch the next digit (4) from the dividend, attach it to 19 and continue: 194 / 38

Moving on to step 4:
38 goes into 194 5 times with a remainder of 4.
The next digit of our result is 5. 
Result so far: 135.0
Subtracting 190 from 194 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 38

Let's proceed to step 5:
The number 38 fits into 41 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1351.0
If we subtract 38 from 41, we get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 38

On to step 6:
When dividing 31 by 38, we get 0 with a remainder of 31.
The next digit of our result is 0. 
Result so far: 13510.0
Subtracting 0 from 31 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
38 goes into 310 8 times with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 13510.8
If we subtract 304 from 310, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
If we divide 60 by 38, we get 1 and a remainder of 22.
The next digit of our result is 1. 
Result so far: 13510.81
Deduct 38 from 60 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
220 divided by 38 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 13510.815
If we take 190 away from 220, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
When dividing 300 by 38, we get 7 with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 13510.8157
Subtracting 266 from 300 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 11:
340 divided by 38 is 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 13510.81578
If we subtract 304 from 340, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 12:
360 divided by 38 is 9 with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 13510.815789
The remainder is 18 after subtracting 342 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 13:
180 divided by 38 is 4 with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 13510.8157894
If we take 152 away from 180, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 14:
38 goes into 280 7 times with a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 13510.81578947
If we subtract 266 from 280, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final outcome is 13510.81578947, with a leftover of 1.4e-08.